Multiple-bar graphs
Construct and read a multiple-bar (grouped) bar graph that shows two or more data sets side by side for the same categories, using a key that maps each colour or pattern to its data set, a title, axis labels and an appropriate scale; compare the data sets within each category and across categories, recognising that bar heights show counts, so when the groups are different sizes a taller bar does not by itself mean a larger share of that group
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Multiple-bar graphs means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Tally sheet or simple bar sketch; A short set of category counts. Adult tallies one category and sketches a bar. Child tallies three categories and answers one comparison question. Done: three tallies plus one correct comparison. Stop after the fresh check; keep optional challenge for another day.
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Start practiceMultiple-bar graphs practice
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Illustrative Mathematics · Practice link — not the full lesson
20 Tickets
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20 Tickets supports multiple-bar graphs. Not every worksheet pack.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to explain one step of “20 Tickets” in their own words.
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Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “20 Tickets.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
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Check understanding
- Draw a multiple-bar graph of favourite sports for two classes, with each class's bar beside the other for every sport, a key, a title, labelled axes and a suitable scale
- Read a given multiple-bar graph, using the key, to compare the data sets for one category and to find the category where they differ most
- Explain, using the group sizes, why the group with more votes for a sport is not necessarily the group in which that sport is more popular when the groups are different sizes
“If your child sees a bar graph with two coloured bars side by side for each sport — one for each class — can they use the key to compare the two classes and explain what the graph shows?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Data & Statistics
- Age range
- Ages 9–11
Standards